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Finding the Third Proportional to 173,312,855,912 and 377,393,857,392

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Solution

The third proportional to 173,312,855,912 and 377,393,857,392 is: 821,786,259,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,312,855,912 : 377,393,857,392 = 377,393,857,392 : x
  2. Step 2: Convert to fraction form
    173,312,855,912/377,393,857,392 = 377,393,857,392/x
  3. Step 3: Cross multiply
    173,312,855,912x = 377,393,857,392 × 377,393,857,392
  4. Step 4: Simplify right side
    173,312,855,912x = 142,426,123,597,213,230,694,400
  5. Step 5: Solve for x
    x = 142,426,123,597,213,230,694,400/173,312,855,912
  6. Step 6: Final answer
    x = 821,786,259,580.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.